According to a minimalist version of Afriat’s theorem, a consumer behaves as a utility maximizer if and only if a feasibility matrix associated with his choices is cyclically consistent. An “essential experiment” consists of observed consumption bundles <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$(x_{1}, \ldots , x_{n})$$</EquationSource> </InlineEquation> and a...</equationsource></inlineequation>

If the allocations of a differential information economy are defined as incentive compatible state-contingent lotteries over consumption goods, competitive equilibrium allocations exist and belong to the (ex ante incentive) core. Furthermore, any competitive equilibrium allocation can be viewed...